A hereditarily indecomposable, hereditarily non-chainable planar tree-like continuum
Lee Mohler, Lex Oversteegen (1984)
Fundamenta Mathematicae
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Lee Mohler, Lex Oversteegen (1984)
Fundamenta Mathematicae
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James Davis, W. Ingram (1988)
Fundamenta Mathematicae
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J. Krasinkiewicz, Piotr Minc (1980)
Fundamenta Mathematicae
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Wojciech Dębski, J. Heath, J. Mioduszewski (1992)
Fundamenta Mathematicae
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It is known that no dendrite (Gottschalk 1947) and no hereditarily indecomposable tree-like continuum (J. Heath 1991) can be the image of a continuum under an exactly 2-to-1 (continuous) map. This paper enlarges the class of tree-like continua satisfying this property, namely to include those tree-like continua whose nondegenerate proper subcontinua are arcs. This includes all Knaster continua and Ingram continua. The conjecture that all tree-like continua have this property, stated...
Charatonik, Janusz J. (2003)
International Journal of Mathematics and Mathematical Sciences
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J. Krasinkiewicz (1974)
Fundamenta Mathematicae
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Hisao Kato (1990)
Fundamenta Mathematicae
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Hisao Kuto (1991)
Fundamenta Mathematicae
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J. Grispolakis, E. Tymchatyn (1980)
Fundamenta Mathematicae
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J. Krasinkiewicz, Sam Nadler (1978)
Fundamenta Mathematicae
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H. Cook (1974)
Fundamenta Mathematicae
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